Waveform Envelope Plotting.ipynb

{
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  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNPH+684A+yAibxmqpycJrx",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/OJB-Quantum/Notebooks-for-Ideas/blob/main/Waveform%20Envelope%20Plotting.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TUMZwQ_lZFSc",
        "outputId": "db2faaf3-1cf3-41dc-bf75-791e7cf0e0fc"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (1.25.2)\n",
            "Requirement already satisfied: scipy in /usr/local/lib/python3.10/dist-packages (1.11.4)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (3.7.1)\n",
            "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.2.0)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (0.12.1)\n",
            "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (4.49.0)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.4.5)\n",
            "Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (24.0)\n",
            "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (9.4.0)\n",
            "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (3.1.2)\n",
            "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (2.8.2)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n"
          ]
        }
      ],
      "source": [
        "!pip install numpy scipy matplotlib"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.signal import hilbert"
      ],
      "metadata": {
        "id": "nEtXJ0XkZNxC"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Generate a wave packet with a Gaussian envelope\n",
        "fs = 1000  # Sampling frequency in Hz\n",
        "t = np.arange(0, 1, 1/fs)  # Time vector\n",
        "frequency = 5  # Frequency of the sine wave\n",
        "amplitude = 1  # Amplitude of the sine wave\n",
        "wave_packet = amplitude * np.sin(2 * np.pi * frequency * t) * np.exp(-(t-0.5)**2 / 0.01)\n",
        "\n",
        "# Compute the envelope using the Hilbert transform\n",
        "analytical_signal = hilbert(wave_packet)\n",
        "envelope = np.abs(analytical_signal)\n",
        "\n",
        "# Plotting\n",
        "plt.figure(figsize=(10, 6), dpi=400)\n",
        "plt.plot(t, wave_packet, label='Wave Packet', color='green')\n",
        "plt.plot(t, envelope, label='Envelope', linestyle='--', color='blue')\n",
        "plt.xlabel('Time [s]')\n",
        "plt.ylabel('Amplitude')\n",
        "plt.legend()\n",
        "plt.title('Wave Packet and Its Envelope')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 846
        },
        "id": "KSMTWjv0ZIKO",
        "outputId": "adb5759c-706a-4a83-a58a-25c880053a9e"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 4000x2400 with 1 Axes>"
            ],
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}